Inscribed Circle in Square - Square Side Length to Circle Area (Level 1)

This math topic focuses on finding the area of a circle inscribed within a square. Each problem provides a different side length for the square, and students are required to determine the circle's area. The skills practiced include applying the formula for the area of a circle and understanding the relationship between the diameter of the inscribed circle and the side length of the square. Each question offers multiple answer choices, including expressions involving \(\pi\) and square roots, enhancing the understanding of geometric properties and algebraic manipulation.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Inscribed Circle in Square - Square Side Length to Circle Area

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Find the area of the circle inscribed in a square with side length 7

7

Inscribed Circle in Square - Square Side Length to Circle Area Worksheet

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Math worksheet on 'Inscribed Circle in Square - Square Side Length to Circle Area (Level 1)'. Part of a broader unit on 'Inscribed Squares and Circles - Intro' Learn online: app.mobius.academy/math/units/inscribed_squares_and_circles_intro/
1
Find the area of the circle inscribed in a square with side length 5
An svg image showing a math problem
a A LaTex expression showing {({5 over 2 })} to the power of 2 Pi
b A LaTex expression showing {({2 over 2 })} to the power of 2 Pi
c A LaTex expression showing 2square root of 50 over 2Pi
d A LaTex expression showing {50 over 2 } to the power of 2 Pi
e A LaTex expression showing 10 over Pi
f A LaTex expression showing {10 over 2 } to the power of 2 Pi
2
Find the area of the circle inscribed in a square with side length 4
An svg image showing a math problem
a A LaTex expression showing 2square root of 8 over 2Pi
b A LaTex expression showing 32 over Pi
c A LaTex expression showing {(square root of 8)} to the power of 2 Pi
d A LaTex expression showing 8Pi
e A LaTex expression showing {({4 over 2 })} to the power of 2 Pi
f A LaTex expression showing {({2 over 2 })} to the power of 2 Pi
3
Find the area of the circle inscribed in a square with side length 6
An svg image showing a math problem
a A LaTex expression showing {({3 over 2 })} to the power of 2 Pi
b A LaTex expression showing 4square root of 18
c A LaTex expression showing {18 over 2 } to the power of 2 Pi
d A LaTex expression showing 18 over Pi
e A LaTex expression showing {({6 over 2 })} to the power of 2 Pi
f A LaTex expression showing {(square root of 36)} to the power of 2 Pi
4
Find the area of the circle inscribed in a square with side length 2
An svg image showing a math problem
a A LaTex expression showing {({2 over 2 })} to the power of 2 Pi
b A LaTex expression showing {({1 over 2 })} to the power of 2 Pi
c A LaTex expression showing 2square root of 4 over 2Pi
d A LaTex expression showing 4Pi
e A LaTex expression showing 2 over Pi
f A LaTex expression showing {(square root of 2)} to the power of 2 Pi
5
Find the area of the circle inscribed in a square with side length 7
An svg image showing a math problem
a A LaTex expression showing {98 over 2 } to the power of 2 Pi
b A LaTex expression showing {({7 over 2 })} to the power of 2 Pi
c A LaTex expression showing {({3 over 2 })} to the power of 2 Pi
d A LaTex expression showing 98 over 2 square root of 2
e A LaTex expression showing 2square root of 49 over 2
f A LaTex expression showing 4square root of 25
6
Find the area of the circle inscribed in a square with side length 3
An svg image showing a math problem
a A LaTex expression showing 6Pi
b A LaTex expression showing 5 over 2 square root of 2
c A LaTex expression showing {(square root of 5)} to the power of 2 Pi
d A LaTex expression showing 9
e A LaTex expression showing {({1 over 2 })} to the power of 2 Pi
f A LaTex expression showing {({3 over 2 })} to the power of 2 Pi
7
Find the area of the circle inscribed in a square with side length 8
An svg image showing a math problem
a A LaTex expression showing {16 over 2 } to the power of 2 Pi
b A LaTex expression showing 2square root of 128 over 2
c A LaTex expression showing {64 over 2 } to the power of 2 Pi
d A LaTex expression showing {({8 over 2 })} to the power of 2 Pi
e A LaTex expression showing {({4 over 2 })} to the power of 2 Pi
f A LaTex expression showing {(square root of 64)} to the power of 2 Pi